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Finding the Fourth Proportional to 6,040.34, 8,342.00 and 4,156.79

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Solution

The fourth proportional to 6,040.34, 8,342.00 and 4,156.79 is: 5,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.34 : 8,342.00 = 4,156.79 : x
  2. Step 2: Convert to fraction form
    6,040.34/8,342.00 = 4,156.79/x
  3. Step 3: Cross multiply
    6,040.34x = 8,342.00 × 4,156.79
  4. Step 4: Simplify right side
    6,040.34x = 34,675,918.66
  5. Step 5: Solve for x
    x = 34,675,918.66/6,040.34
  6. Step 6: Final answer
    x = 5,740.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.